Removing 18 of 32 Ace (1-Point Pip) (Ace-1) cards at 50% penetration of a 8-deck (416-card) shoe leaves 14 Ace-1 cards inside a 208-card stub (DEP373), producing 45.8608% Banker wins, 44.6236% Player wins, 9.5156% Ties, and a 1.4557% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP373 (8D Ace-1 at 50% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
18 Ace cards valued at 1 modulo-10 point removed from the 8D pack.
Resolved at 45.8608% Banker win rate under Super 6 settlement.
Resolved at 44.6236% Player win rate with 0.9348 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP373.
Across 4,998,398,275,503,360 initial 8D permutations, depletion node DEP373 narrows to a 208-card stub (50% depth) holding 14 of 32 Ace-1 cards, where Banker resolves at 45.8608% (-1.4557% EV) and Player at 44.6236% (-1.2373% EV).
Mechanical draw trees in DEP373 reflect how when fewer aces remain, (dep373-ace-1) player 7 and 8 third-card (208c) transitions from 6 and 7 (dep373-ace-1·208c) occur less often during six-card resolutions. At 50% 8D depth (14 Ace-1 left of 32 in 208 cards, +0.44 bps slope), banker wins on totals (dep373-8d) 1–5 and 7–9 pay 1:1 (14/32) while any winning 2-card or (dep373-8d·14/32) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP373 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP373 Banker (Super 6) | 45.8608% (-1.4557% EV) | 45.8597% | DEP373 8D 50% (14 Ace-1) |
| DEP373 Player (1:1) | 44.6236% (-1.2373% EV) | 44.6247% | DEP373 208-card 8D stub (0.9348 SD) |
| DEP373 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP373 Ace-1 (18 out, 14 in) |
For DEP373 (208 remaining cards in a 416-card 8D shoe at 50% depth), tracking all 18 exited Ace-1 cards moves Banker win rate to 45.8608% (-1.4557% EV, Super 6) and Player to 44.6236% (-1.2373% EV).
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